Question

Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places when possible.

The mean of this distribution is 
 .
The standard deviation is 
 .
The probability that a person will be born at the exact moment that week 48 begins is
   
P(x=48)=
 
 .
The probability that a person will be born between weeks 15 and 47 is
   
P(15<x<47) =
 .
The probability that a person will be born after week 33 is
   
P(x>33)=
 
 .
P(x>9∣x<18)=
 
 .
Find the 45th percentile. 
Find the minimum for the upper quarter